7361968768 has 256 divisors, whose sum is σ = 19388160000. Its totient is φ = 2700472320.

The previous prime is 7361968759. The next prime is 7361968787. The reversal of 7361968768 is 8678691637.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12290133 + ... + 12290731.

It is an arithmetic number, because the mean of its divisors is an integer number (75735000).

Almost surely, 2^7361968768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7361968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080000).

7361968768 is an abundant number, since it is smaller than the sum of its proper divisors (12026191232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7361968768 is a wasteful number, since it uses less digits than its factorization.

7361968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 61.

The square root of 7361968768 is about 85801.9158760456. The cubic root of 7361968768 is about 1945.3510791632.

The spelling of 7361968768 in words is "seven billion, three hundred sixty-one million, nine hundred sixty-eight thousand, seven hundred sixty-eight".